Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace

Understand

Supersymmetric integrands for the two-loop five-point amplitudes in ten-dimensional super Yang--Mills and type II supergravity are proposed.

• The kinematic numerators are manifestly local and satisfy the duality between color and kinematics described by Bern, Carrasco and Johansson.
• Our results are expected to reproduce the integrated two-loop amplitudes in dimensions $D<7$.
• The UV divergence in the critical dimension $D=7$ matches the low-energy limit of the corresponding superstring amplitudes and is written in terms of SYM tree amplitudes.